Find the distance from $$\mathrm { P } _ { 1 } \text { to } \mathrm { P } _ { 2 }$$
-$$\mathrm { P } _ { 1 } = ( - 3,0,4 ) \text { and } \mathrm { P } _ { 2 } = ( 2,3,1 )$$
A) 5
B) $\sqrt { 34 }$
C) $\sqrt { 43 }$
D) $\sqrt { 29 }$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ in 3D space is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$. Applying this formula to the given points $(-3, 0, 4)$ and $(2, 3, 1)$, we get $\sqrt{(2 - (-3))^2 + (3 - 0)^2 + (1 - 4)^2} = \sqrt{5^2 + 3^2 + (-3)^2} = \sqrt{25 + 9 + 9} = \sqrt{43}$.

Find the Distance From P1 to P2\mathrm { P } _ { 1 } \text { to } \mathrm { P } _ { 2 }P1​ to P2​

Find the Distance From $\mathrm { P } _ { 1 } \text { to } \mathrm { P } _ { 2 }$